Search a number
-
+
241872048 = 243311232213
BaseRepresentation
bin11100110101010…
…10110010110000
3121212010101002000
432122222302300
5443404401143
640000054000
75664610215
oct1632526260
9555111060
10241872048
11114592060
1269004300
133b157c72
14241a1b0c
151637abd3
hexe6aacb0

241872048 has 160 divisors (see below), whose sum is σ = 790663680. Its totient is φ = 70076160.

The previous prime is 241871999. The next prime is 241872049. The reversal of 241872048 is 840278142.

241872048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241872049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108190 + ... + 110402.

It is an arithmetic number, because the mean of its divisors is an integer number (4941648).

Almost surely, 2241872048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395331840).

241872048 is an abundant number, since it is smaller than the sum of its proper divisors (548791632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241872048 is a wasteful number, since it uses less digits than its factorization.

241872048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 241872048 is about 15552.2361093188. The cubic root of 241872048 is about 623.0581204414.

The spelling of 241872048 in words is "two hundred forty-one million, eight hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2213 2277 2376 2484 3036 3312 4048 4426 4554 4752 4968 6072 6639 6831 8852 9108 9936 12144 13278 13662 17704 18216 19917 24343 26556 27324 35408 36432 39834 48686 50899 53112 54648 59751 73029 79668 97372 101798 106224 109296 119502 146058 152697 159336 194744 203596 219087 239004 292116 305394 318672 389488 407192 438174 458091 478008 559889 584232 610788 657261 814384 876348 916182 956016 1119778 1168464 1221576 1314522 1374273 1679667 1752696 1832364 2239556 2443152 2629044 2748546 3359334 3505392 3664728 4479112 5039001 5258088 5497092 6718668 7329456 8958224 10078002 10516176 10994184 13437336 15117003 20156004 21988368 26874672 30234006 40312008 60468012 80624016 120936024 241872048